Question

Calculati media geonetrica a numerelor m=12(radical 10 -1) si n=3+radical 90

Va rog repede!!!!!!!

Answer 1

$m = 12( \sqrt{10} - 1)$

$n = 3+ \sqrt{90}$

$n = 3 + 3 \sqrt{10}$

$n = 3(1 + \sqrt{10} )$

$n = 3( \sqrt{10} + 1)$

$m_{g} = \sqrt{m \times n}$

$m_{g} = \sqrt{12( \sqrt{10} - 1) \times 3( \sqrt{10} + 1) }$

$m_{g} = \sqrt{12 \times 3( \sqrt{10} - 1)( \sqrt{10} + 1) }$

$m_{g} = \sqrt{36[ {( \sqrt{10}) }^{2} - {1 }^{2} ]}$

$m_{g} = \sqrt{36(10 - 1)}$

$m_{g} = \sqrt{36 \times 9}$

$m_{g} = \sqrt{36} \times \sqrt{9}$

$m_{g} = 6 \times 3$

$m_{g} = 18$